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Study the following information carefully and answer the given questions.
There are seven workers in a Bank named Elango, Murugan, Ranjith, Milan, Suraj, Albert and Varun. They are born in a different month of the same year from January to July, but not necessarily in the same order. No two people are born in the same month. They also like different national award movies among Ventilator, Pulimurugan, Joker, Dangal, 24, Rustom and Pink.
· Murugan has his birthday in a month which has 30 days.
· The ones who have their birthday in the month immediately preceding & succeeding that of Murugan's like 24 and Rustom respectively
· Ranjith has his birthday in the month just before that of Murugan.
· Albert has his birthday in a month that has more than 30 days.
· Joker is not liked by Albert or Milan.
· Suraj likes Pulimurugan. There is only one person's birthday between Suraj and the one who likes Ventilator.
· The persons who like Dangal or Pink do not have birthdays in successive months. Murugan does not like Dangal or Pink.
· There are three persons' birthday between Elango and the one who likes Joker. Elango is not born in February.
· The one who likes Pink has his birthday before the one who likes Dangal.
Study the following information carefully and answer the given questions.
There are seven persons Gopesh, Charan, Dhikshit, Piyush, Kalyan, Ahmad and Lakshman who participated in a quiz competition which started on Monday and ended on Sunday. In the first round of the competition, each of them played quiz under different subjects Reasoning, Aptitude, English, Computer, Marketing, General Knowledge and Current Affairs, but not necessarily in the same order. They like different Countries, Brazil, Argentina, Germany, Sweden, Poland, Russia and Moscow, but not necessarily in the same order.
Charan did not play on the day either immediately before or immediately after the quiz of Piyush, who does not like either Poland or Brazil or Sweden Country. Two quizzes were held between the quiz of Lakshman and Ahmad, neither of whom played on Monday. There was one quiz between the quiz of Piyush and Dhikshit. But Dhikshit’s quiz did not happen either on Monday or on Wednesday. Dhikshit likes Argentina Country and played Reasoning. The one, who played under English subject on the last day of competition, likes Germany Country. Kalyan played immediately after Dhikshit and he likes Brazil Country. Gopesh does not like Poland Country and played under Computer subject. Piyush did not play for either Current Affairs or General Knowledge ream. The one who played for Marketing subject was scheduled immediately after the quiz of Reasoning subject. Lakshman, who likes Russia, played on the fourth day of the competition but played neither Reasoning subject nor Aptitude subject.
1). The ratio of the radii of two right circular cylinders (A and B) is 2 : 5. The ratio of the highest of cylinders A to B is 3 : 1. What is the ratio of the volumes of cylinders A to B?
a) 12:25
b) 9:25
c) 9:20
d) 3:5
e) 12:35
2). Raja gives 30% of his salary to his mother, 40% of the remaining salary he invests in an insurance scheme and PPF in the ratio of 4 : 3 and the remaining he keeps in his bank account. If the difference between the amount he gives to his mother and that he invests in insurance scheme is Rs.8400, how much is Raja's salary?
a) Rs.60,000
b) Rs.62,000
c) Rs.64,000
d) Rs.65,000
e) Rs.54,000
3). C is 40% less efficient than A. A and B together can finish a piece of work in 10 days. B and C together can do it in 15 days. In how many days can A alone finish the same piece of work?
a) 18
b) 12
c) 14
d) 20
e) 15
4). In a bag there are 7 red balls and 5 green balls. Three balls are picked at random. What is the probability that two balls are red and one ball is green in colour?
a) 29/44
b) 21/44
c) 27/44
d) 23/44
e) 19/44
5). Shyama invested Rs. P for 2 years in scheme A, which offered 11% pa simple interest. She also invested Rs. 600+P in scheme B, which offered 20% compound interest (compound annually)for 2 years. If the amount received from scheme A was less than that received from scheme B by Rs. 1216 then what is the value of P?
a) Rs. 1500
b) Rs. 1400
c) Rs. 2000
d) Rs. 1600
e) Rs. 1800
Directions (Q. 6-10): What approximate value will come in place of question mark (?) in the given questions? (You are not expected to calculate the exact value.)
6). 619.002 - 134.99 ÷ 14.998—(9.01)2=?
a) 720
b) 530
c) 650
d) 690
e) 490
7). 439.97 ÷ 15 .02 + 208.08 ÷ 8.01 — 16.01 =?
a) 120
b) 60
c) 100
d) 80
e) 40
8). 4? × √226 =245.998 ÷ 8.001 + 929.99
a) 4
b) 5
c) 2
d) 3
e) 1
9). ?%of(140.06 x 7.99 — 679.92) = 330.01
a) 70
b) 90
c) 80
d) 50
e) None of these
10). 40% of 859 + 86.01 ÷ 7.99 = ?
a) 398
b) 286
c) 412
d) 215
e) 355
Explanation With Answer Key
1). A) Let the radius of cylinder A be 2x and that of cylinder B be 5x.
Now, height of cylinder A = 3y and height of cylinder B = y
Now, volume of cylinder A = ￗr2h
= (22/7)x (2x)2 x 3y = (22/7) x 4x2 x 3y
= (22/7) x l2 x2y
Volume of cylinder B = ￗr2h
=( 22/7)×(5x)2 × y = (22/7) x 25 x2y
Reqd ratio = [ (22/7) x l2 x2y] / [(22/7) x 25 x2y] = 12/25
= 12:25
2). A) Let Raja's salary be Rs. x.
Raja gives 30% of his salary to his mother.
Raja gives[(x × 30)/100 = Rs. 3x/10] to his mother
Remaining salary of Raja = x – (3x /10) = Rs. 7x /10
Investments of Raja in insurance and PPF is 40% of the remaining salary.
Insurance + PPF = (7x x 40)/ (10x100) = 7x/25
Remaining salary of Raja = 7x/10 – 7x/25
= (35x —14x)/50 = 21x /50
Raja's investment in insurance scheme
= (7x/25) × (4/7) = 4x/25
Now, according to the question,
3x/10 - 4x/7 = 8400
or, (15x-8x) / 50 =8400
or, 7x = 8400 x 50
x = (8400x 50)/7 =1200 x 50 = Rs. 60000
3). B) Suppose total work = 60 units (LCM of 10 and 15)
(A + B)'s one day's work = 60/10
= 6 units
And (B + C)'s one day's work = 60/15 = 4 unit
According to the question, C : A = 60 : 100
or, C :A = 3 : 5
C/A = 3/5
Or, A = 5C/3
Again, A +B = 6units ..(i)
B+C = 4 units …(ii)
Putting the value of A in equation (i), we get
[ 5C/3 + B = 6 unit ] – [B + C = 4 units]
= 5C/3 - C=2units
Or, 2C/3 = 2 units
C = 3 units
Then A = 5C/3 = 5×3 / 5 = 5 units
Now, total work is 60 units Then A alone can do the work in
(60 / 5 =) 12 days
4). B) Total number of balls = 7 + 5 = 12
Now, three halls are picked randomly
Then, the number of sample space n(S)
= 12C3 =(10 ×11 ×12) / (1×2×3) = 220
The number of events
n(E) = 7C2 x5C1 = [(6x7)/2] x 5
= 21 x 5 = 105
105 21 P(E) = n(E)/n(S)=105/220 = 21/24
5). D) Amount received from scheme A
= P+ [(Px2x11)/100] =( 100P+22P)/100 = 122P/100
Amount received from scheme B
= (P + 600) [1+ (20/100)]2
= (P + 600) (6/5)2
= (P + 600) (36/25)
= 36P/25 + (600x36)/25 = 36P/25 + 864
Now, according to the question,
36P/25 + 864 – 122P/100 = 1216
Or, 36P/25 – 122P/100 = 1216-864
Or, (144P-122P)/100 = 352
Or, 22P = 352×100
P = (352×100) / 22 = Rs. 1600
6). B) ? = 619.002 – 134.99 ÷ 14.998 –(9.01) = 620 – 135 ÷ 15 – (9)2
= 620 – 90 = 530
7). E) ? = 439.97 ÷ 15.02 + 208.08 ÷ 8.01 –16.01 = 450 ÷ 15 + 208 ÷ 8 – 16
= 30 + 26 – 16 =30 + 10 = 40
8). D) 4? x √226 = 245.998 ÷ 8.001 + 929.99
or, 4? x √225 = 248 ÷ 8 + 930
or, 4? x 15 = 31 + 930 = 961
or 4? = 960/15 = 64 = 43
? = 3
9). E) ?% of (140.06 x 7.99 — 679.92) = 330.01
= [?x(140x8-680)] / 100 = 330
or, ? x (1120 — 680) = 330 x 100
or, ? x 440 = 33000
? = 33000 / 440 = 75
10). E) ? 40% of 859 + 86.01 ÷ 7.99
= (40 x 860) / 100 + 86 ÷ 8
= 344 + 11 = 355
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